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Finding the Fourth Proportional to 1,641.07, 2,461.62 and 545.53

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Solution

The fourth proportional to 1,641.07, 2,461.62 and 545.53 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.07 : 2,461.62 = 545.53 : x
  2. Step 2: Convert to fraction form
    1,641.07/2,461.62 = 545.53/x
  3. Step 3: Cross multiply
    1,641.07x = 2,461.62 × 545.53
  4. Step 4: Simplify right side
    1,641.07x = 1,342,887.56
  5. Step 5: Solve for x
    x = 1,342,887.56/1,641.07
  6. Step 6: Final answer
    x = 818.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.